Calculation of a plane turbulent wall jet of incompressible fluid
Abstract
An expression for the maximum velocity in a wall jet in the self-similar region is presented in terms of the velocity along the entrance slit, the width of the slit, and the coordinate of the jet focus. The corresponding integral conservation condition is expressed in terms of the jet thickness, the stream function, and the longitudinal and transverse components of the mean velocity. The two above equations and the general theory of self-similar plane turbulent layers are used in a fundamental Blasius variant of that general theory. Calculated results from the final formulation show that the flow in all areas, not only the wall region, is essentially dependent on the Reynolds number. The difference between the jet thicknesses for Re = 1.1 x 10 to the 4th and 2.5 x 10 to the 4th is about 7 percent, and is in accordance with experimental data. For Re = 1.1 x 10 to the 4th and 3.0 x 10 to the 5th the difference increases to 30 percent.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- 1984
- Bibcode:
- 1984DoSSR.274..794N
- Keywords:
-
- Blasius Flow;
- Flow Velocity;
- Reynolds Number;
- Turbulent Jets;
- Two Dimensional Jets;
- Wall Jets;
- Computational Fluid Dynamics;
- Incompressible Flow;
- Similarity Theorem;
- Slits;
- Turbulent Boundary Layer;
- Fluid Mechanics and Heat Transfer